Article
On Irregularities of Distribution of Binary Sequences Relative to Arithmetic Progressions, Ii (Constructive Bounds)
Authors
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Abstract
In Part I of this paper we studied the irregularities of distribution of binary sequences relative to short arithmetic progressions. First we introduced a quantitative measure for this property. Then we studied the typical and minimal values of this measure for binary sequences of a given length. In this paper our goal is to give constructive bounds for these minimal values.
Keywords
arithmetic progressions, irregularities of distribution, binary sequences.
Citation
Dartyge, C., Gyarmati, K., & Sarkozy, A. (2018). On irregularities of distribution of binary sequences relative to arithmetic progressions, ii (constructive bounds). Uniform Distribution Theory, 13(2), 1–21. https://doi.org/10.2478/udt-2018-0008
C. Dartyge, K. Gyarmati and A. Sarkozy, “On irregularities of distribution of binary sequences relative to arithmetic progressions, ii (constructive bounds),” Uniform Distribution Theory, vol. 13, no. 2, pp. 1–21, 2018, doi: 10.2478/udt-2018-0008.
Dartyge C, Gyarmati K, Sarkozy A. On irregularities of distribution of binary sequences relative to arithmetic progressions, ii (constructive bounds). Uniform Distribution Theory. 2018;13(2):1–21. doi:10.2478/udt-2018-0008.
Dartyge, C., Gyarmati, K. and Sarkozy, A. (2018), ‘On irregularities of distribution of binary sequences relative to arithmetic progressions, ii (constructive bounds)’, Uniform Distribution Theory, 13(2), pp. 1–21. Available at: https://doi.org/10.2478/udt-2018-0008.
Dartyge, Cecile, et al. “On Irregularities of Distribution of Binary Sequences Relative to Arithmetic Progressions, Ii (Constructive Bounds).” Uniform Distribution Theory, vol. 13, no. 2, 2018, pp. 1–21. https://doi.org/10.2478/udt-2018-0008.
Dartyge, Cecile, Katalin Gyarmati, and Andras Sarkozy. “On Irregularities of Distribution of Binary Sequences Relative to Arithmetic Progressions, Ii (Constructive Bounds).” Uniform Distribution Theory 13, no. 2 (2018): 1–21. https://doi.org/10.2478/udt-2018-0008.
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Published by: Engineering Journals
